CM2 FEM® SDK /full technical specifications

• Beams
  2-node, 3-node and 4-node, thin or thick theory (Euler-Bernouilli, Timoshenko).
  Linear and non-linear (large strains & large displacements / rotations).
  Relaxations, hard offsets, tapered beams (exact for 2-node linear beams).
• Rod
  2-node linear.
• Distributed linear spring
  2-node, 3-node and 4-node.
• Heat capacity lines
  2-node, 3-node and 4-node.
• Heat conduction lines
  2-node, 3-node and 4-node.
• Heat convection lines
  2-node, 3-node and 4-node.

• Membrane triangles
  3- and 6-node (isoparametric). Linear and non-linear (large strains & large displacements).
• Membrane quadrangles
  4- and 9-node (isoparametric). Linear and non-linear (large strains & large displacements).
• Plane-strain triangles
  3- and 6-node (isoparametric). Linear and non-linear (large strains & large displacements).
• Plane-strain quadrangles
  4- and 9-node (isoparametric). Linear and non-linear (large strains & large displacements).
• 3-D axi-symmetric triangles
  3- and 6-node (isoparametric). Linear and non-linear (large strains & large displacements).
• 3-D axi-symmetric quadrangles
  4- and 9-node (isoparametric). Linear and non-linear (large strains & large displacements).
• Plate triangles (Mindlin)
  3- and 6-node (isoparametric). Linear and non-linear (large strains & large displacements / rotations).
• Plate quadrangles (Mindlin)
  4- and 9-node (isoparametric). Linear and non-linear (large strains & large displacements / rotations).
• Shell triangles (Mindlin):
  3- and 6-node (isoparametric). Linear and non-linear (large strains & large displacements / rotations).
• Shell quadrangles (Mindlin):
  4- and 9-node (isoparametric). Linear and non-linear (large strains & large displacements / rotations).
• Laminates triangles (Mindlin)
  3- and 6-node (isoparametric). Linear and non-linear (large strains & large displacements / rotations).
• Laminates quadrangles (Mindlin)
  4- and 9-node (isoparametric). Linear and non-linear (large strains & large displacements / rotations).
• Distributed plane spring triangles
  3- and 6-node (isoparametric).
• Distributed plane spring quadrangles
  4- and 9-node (isoparametric).
• Heat capacity surfaces
  3- and 6-node triangles, 4- and 9-node quadrangles (isoparametric).
• Heat conduction surfaces
  3- and 6-node triangles, 4- and 9-node quadrangles (isoparametric).
• Heat convection surfaces
  3- and 6-node triangles, 4- and 9-node quadrangles (isoparametric).

• Tetrahedrons
  4- and 10-node (isoparametric). Linear and non-linear (large strains & large displacements).
• Pyramids
  5- and 14-node (isoparametric). Linear and non-linear (large strains & large displacements).
• Wedges
  6- and 18-node (isoparametric). Linear and non-linear (large strains & large displacements).
• Hexahedrons
  8- and 27-node (isoparametric). Linear and non-linear (large strains & large displacements).
• Heat capacity solids
  4- and 10-node tetrahedrons, 5- and 14-node pyramids, 6- and 18-node wedges, 8- and 27-node hexahedrons (isoparametric).
• Heat conduction solids
  4- and 10-node tetrahedrons, 5- and 14-node pyramids, 6- and 18-node wedges, 8- and 27-node hexahedrons (isoparametric).

• Springs (displacement or rotation).
• Links.
• Rigid bodies (small/large displacements/rotations).
• Rigid diaphragms (small/large displacements/rotations).
• Plane contacts.
• Hinges.
• Hard and soft offsets.
• User stiffness, user mass, user damping, user thermal matrix.
• Punctual masses (with offsets), diagonal masses, dash-pots, Rayleigh dampings.
• Punctual thermal capacity, punctual thermal convection.

• Static linear (mechanical, thermal)
  Mixed loads (forces / displacements), thermal loads (with gradients), multiple load cases, combinations.
• Matrix condensation (mechanical, thermal)
  Stiffness, thermal conductivity.
• Static non-linear (mechanical)
  Newton-Raphson solver, large strains, large displacements, full non-linear buckling, automatic time-stepping.
• Euler buckling (mechanical)
  Lanczos solver, windowing on critical loads
• Modal dynamic analysis (mechanical)
  Lanczos solver, windowing on frequencies, “Load-dependent Ritz vectors” LDRV solver (mechanical).
• Seismic analysis (mechanical)
  Soil spectrum, participation factors, effective modal masses, CQC combination, correction due to the residual mode.
• Transient dynamic analysis (mechanical, thermal)
  Newmark implicit solver, time-dependent loads

All solvers are multi-threaded (parallelized on multi-core CPUs) and support out-of-core management (managed swapping of global matrices).

• Load-only models
• Neumann boundary conditions
  forces/momentums/heat flows.
• Dirichlet boundary conditions
  prescribed displacements/rotations/temperatures.
• Mixed boundary conditions
  Neumann + Dirichlet.
• Thermal loads
  uniform, element-by-element, varying through element, varying through section/thickness.

• User-defined scalar laws
  linear and non-linear.
• Distributed springs
  1D or 2D, linear or not.
• Hooke’s laws
  1D, 2D, plane-strains, plate/shells/laminates and 3D elements.
• Orthotropic laws
  2D (plane-strains, plate/shells/laminates) and 3D elements.
• Drucker-Prager (non-associated) elasto-plastic laws
  1D, plane-strains, plate/shells/laminates and 3D elements.
  (Ramberg-Osgood, power, perfect, piecewise-linear hardening).